13775435856 has 480 divisors, whose sum is σ = 50085544320. Its totient is φ = 3592802304.

The previous prime is 13775435819. The next prime is 13775435867. The reversal of 13775435856 is 65853457731.

13775435856 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 54 + 3 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10584000) is a multiple of the sum of its prime factors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31095571 + ... + 31096013.

It is an arithmetic number, because the mean of its divisors is an integer number (104344884).

Almost surely, 2^13775435856 is an apocalyptic number.

13775435856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13775435856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25042772160).

13775435856 is an abundant number, since it is smaller than the sum of its proper divisors (36310108464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13775435856 is a wasteful number, since it uses less digits than its factorization.

13775435856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 13775435856 in words is "thirteen billion, seven hundred seventy-five million, four hundred thirty-five thousand, eight hundred fifty-six".